SOLUTION: Graph the inequality y is less than 2x + 2 Graph the inequality 2x is less than 3y + 6

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Question 258159: Graph the inequality y is less than 2x + 2
Graph the inequality 2x is less than 3y + 6
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Graph the inequality y is less than 2x + 2
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1st: Graph the boundary, which is y = 2x+2, as a dashed line.
graph%28400%2C300%2C-10%2C10%2C-10%2C10%2C2x%2B2%29
2nd: Shade the half-plane BELOW the boundary because you
want y to be LESS than 2x+2.
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graph%28400%2C300%2C-10%2C10%2C-10%2C10%2Cy%3C2x%2B2%29
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Graph the inequality 2x is less than 3y + 6
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1st Solve for "y"
2x < 3y+6
3y > -2x - 6
y > (-2/3)x - 2
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2nd: Graph the boundary, which is y = (-2/3)x-2, as a dashed line.
graph%28400%2C300%2C-10%2C10%2C-10%2C10%2C%28-2%2F3%29x-2%29
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3rd: Shade the half-plane ABOVE the boundary because you
want y to be GREATER than the boundary y-values.
graph%28400%2C300%2C-10%2C10%2C-10%2C10%2Cy%3E%28-2%2F3%29x-2%29
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Cheers,
Stan H.